Factorise : x2 + 5√3x + 12(a) (x + 2√3)(x + 3√3)(b) (x + √3)(x

1.	Factorise : x2 + 5√3x + 12(a) (x + 2√3)(x + 3√3)(b) (x + √3)(x + 4√3)(c) (x + 4√3)(x - √3)(d) (x - √3)(x - 4√3)
Answer» (b) (x + 4√3)(x + √3) x² + 5√3x + 12 = x² + 4√3x + √3(x + 4√3) = x(x + 4√3) + √3(x + 4√3) = (x + 4√3)(x + √3)

Factorise : x2 + 5√3x + 12(a) (x + 2√3)(x + 3√3)(b) (x + √3)(x + 4√3)(c) (x + 4√3)(x - √3)(d) (x - √3)(x - 4√3)

Answer»

(b) (x + 4√3)(x + √3)

x² + 5√3x + 12

= x² + 4√3x + √3(x + 4√3)

= x(x + 4√3) + √3(x + 4√3)

= (x + 4√3)(x + √3)